Uncertainty principles for magnetic structures on certain coadjoint orbits

Details Uncertainty principles for magnetic structures on certain coadjoint orbits Uncertainty principles for magnetic structures on certain coadjoint orbits

2009-06-08

arxiv.org/abs/0906.1414v1

Physics

Mathematical Physics

19 pages

Scientific paper

By building on our earlier work, we establish uncertainty principles in terms of Heisenberg inequalities and of the ambiguity functions associated with magnetic structures on certain coadjoint orbits of infinite-dimensional Lie groups. These infinite-dimensional Lie groups are semidirect products of nilpotent Lie groups and invariant function spaces thereon. The recently developed magnetic Weyl calculus is recovered in the special case of function spaces on abelian Lie groups.

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